Periodic orbits near bifurcations of codimension two: Classical mechanics, semiclassics, and Stokes transitions

Details Periodic orbits near bifurcations of codimension two: Classical mechanics, semiclassics, and Stokes transitions Periodic orbits near bifurcations of codimension two: Classical mechanics, semiclassics, and Stokes transitions

1997-11-12

arxiv.org/abs/chao-dyn/9711013v1

J. Phys. A: Math. Gen. 31 (1998) 4167-4196

Nonlinear Sciences

Chaotic Dynamics

18 pages RevTeX, 10 figures

Scientific paper

10.1088/0305-4470/31/18/008

We investigate classical and semiclassical aspects of codimension--two bifurcations of periodic orbits in Hamiltonian systems. A classification of these bifurcations in autonomous systems with two degrees of freedom or time-periodic systems with one degree of freedom is presented. We derive uniform approximations to be used in semiclassical trace formulas and determine also certain global bifurcations in conjunction with Stokes transitions that become important in the ensuing diffraction catastrophe integrals.

Affiliated with

Also associated with

No associations

Rating

Periodic orbits near bifurcations of codimension two: Classical mechanics, semiclassics, and Stokes transitions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Periodic orbits near bifurcations of codimension two: Classical mechanics, semiclassics, and Stokes transitions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Periodic orbits near bifurcations of codimension two: Classical mechanics, semiclassics, and Stokes transitions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-152919